In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the bas...

how inflation taxation affects resource allocation and welfare has received a great deal of attention. so far, this debate has been controversial. in this paper we examine how nominal money growth as a means of public finance affects resource allocation and welfare in a neoclassical endogenous growth model with leisure and money in the utility function and production externality. the present st...

introduction: the prevalence of hearing loss in neonates is 2-5 out of every 1,000 live births. global health committee, american academy of otolaryngology, and american academy of pediatrics have recommended that hearing loss in infants be identified, and treated when possible, prior to 6 months of age. this study was designed with the aim to screen the hearing of neonates in mashhad, iran. me...

We study the existence and structure of steady-state ngers in two-dimensional solidiication, when the surface energy has a crystalline anisotropy so that the energy-minimizing Wull shape and hence the solid-liquid interface are polygons, and in the one-sided quasi-static limit so that the diiusion eld satisses Laplace's equation in the liquid. In a channel of nite width, this problem is the cry...

This paper analyzes the dynamics of a G0 cell cycle model of pluripotential stem cells to understand the origin of the long period oscillations of blood cell levels observed in periodic chronic myelogenous leukemia (PCML). The model dynamics are described by a system of two delayed differential equations. We give conditions for the local stability of the non-trivial steady state. We use this co...

The BIS test procedure for performance of solar flat plate collectors allows a certain limit of deviation for the control parameters to define the steady state condition. During actual performance studies, sometimes these limits are exceeded. In this paper an attempt has been made to find out the effect on the performance curve of the collector as a result of exceeding this prescribed limit by ...

Some analytical results for exhaustive polling systems with semi-Markov delays, such as Pollaczek-Khintchin virtual and steady state analog are presented. Numerical solutions for k busy period, probability of states and queue length distribution are obtained. Numerical examples are presented.